Problem $11-19($Algo$)$

The annual demand for a product is $13,800$ units. The weekly demand is $265$ units with a standard deviation of $80$ units. The cost to place an order is $$30\mathrm{.}00,$ and the time from ordering to receipt is eight weeks. The annual inventory carrying cost is $$0\mathrm{.}10$ per unit.

a$.$ Find the reorder point necessary to provide a $95$ percent service probability